198722372256 has 144 divisors (see below), whose sum is σ = 595386923040. Its totient is φ = 62698821120.

The previous prime is 198722372171. The next prime is 198722372269. The reversal of 198722372256 is 652273227891.

198722372256 is a `hidden beast` number, since 1 + 98 + 72 + 237 + 2 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6392206 + ... + 6423218.

It is an arithmetic number, because the mean of its divisors is an integer number (4134631410).

Almost surely, 2^198722372256 is an apocalyptic number.

198722372256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198722372256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297693461520).

198722372256 is an abundant number, since it is smaller than the sum of its proper divisors (396664550784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

198722372256 is a wasteful number, since it uses less digits than its factorization.

198722372256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32219 (or 32208 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 198722372256 in words is "one hundred ninety-eight billion, seven hundred twenty-two million, three hundred seventy-two thousand, two hundred fifty-six".